Pith Number

pith:HYGA7D5J

pith:2026:HYGA7D5JWCPHSF2ZAN2TOGGOD3

not attested not anchored not stored refs pending

Moment Optimization in the Navascu\'es-Pironio-Ac\'in Hierarchy

Adan Garriga, Antonio Ac\'in, Francesco Flora, Losel Matos, Tam\'as Kriv\'achy

arxiv:2607.14755 v1 · 2026-07-16 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYGA7D5JWCPHSF2ZAN2TOGGOD3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-17T01:21:29.336205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e0c0f8fa9b09e79175903753718ce1ec77ed731f0afeec91946eb1f41c50099

Aliases

arxiv: 2607.14755 · arxiv_version: 2607.14755v1 · doi: 10.48550/arxiv.2607.14755 · pith_short_12: HYGA7D5JWCPH · pith_short_16: HYGA7D5JWCPHSF2Z · pith_short_8: HYGA7D5J

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HYGA7D5JWCPHSF2ZAN2TOGGOD3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3e0c0f8fa9b09e79175903753718ce1ec77ed731f0afeec91946eb1f41c50099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "051b7f25fdf39fec59bac274cc0a16ad3313f85a5fbb44aeb6385bb39dd77d7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-16T09:41:17Z",
    "title_canon_sha256": "df1302370d36643d1220a514b226778cbf27b03c593536dc59615c2056496c9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14755",
    "kind": "arxiv",
    "version": 1
  }
}